|
%I #39 Apr 13 2022 14:19:58
%S 1,2,12,14,37,199022,365264,12746116,104351443
%N Fixed points of A109812.
%C The permutation A109812 has regions with smaller amplitude of A109812(n) - n in relative proximity to values of A305370 (Index of 2^n in A109812), this causes higher probability of fixed points in these regions.
%C The permutation A109812 has only weak selfsimilarity and increases its complexity with each interval 2^m..2^(m+1), by this increasing complexity it will be extremely difficult to find any rules and proofs regarding fixed points.
%H Thomas Scheuerle, <a href="/A340016/a340016.m.txt">MATLAB program for calculation of this sequence.</a>
%H Thomas Scheuerle, <a href="/A340016/a340016.svg">Graph of A109812(n) - n shows periodic regions of higher probability for fixed points.</a>
%F A109812(a(n)) = a(n).
%o (MATLAB) See Thomas Scheuerle link.
%Y Cf. A109812.
%K nonn,more,hard
%O 1,2
%A _Thomas Scheuerle_, Dec 26 2020
%E a(8) from _Chai Wah Wu_, Jan 15 2021
%E a(9) from _Walter Trump_, Apr 13 2022
| 